Simulative Study on the Erosive Burning of Solid Rocket Motors

Yamada, Kenjiro; Goto, Mirei; Ishikawa, Nobuyoshi

doi:10.2514/3.61451

Cited by 115 publications

(7 citation statements)

References 7 publications

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“…At a higher Reynolds numbers, transition to a turbulent velocity profile is predicted. e comparison to the experimental data in cold-flow simulation by Yamada et al [6] indicates agreement with the laminar description for the mean velocity profile. e results by Sabnis et al [7] using the low Reynolds number k-ε turbulence model show greatly overpredicting turbulence levels but indicates agreement with the experimental data for the axial mean velocity profiles.…”

Section: Introductionsupporting

confidence: 69%

“…Coupling effects between the burning process and the flow characteristics inside the SRM chamber are associated with small-amplitude pressure oscillations, which can be described mathematically in terms of appropriate eigenfunctions. e co-existence of forced acoustic modes and propagating modes has a significant role in the energy 6 Mathematical Problems in Engineering exchange mechanism and acoustic instability inside the chamber of an SRM. One of the primary objectives of this research is to illustrate how acoustic wave patterns in a duct are generated by a simple time-dependent boundary condition at the head end in terms of an initial-boundary value formulation.…”

Section: Code Validationsmentioning

confidence: 99%

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Turbulent Flow Characteristics in a Model of a Solid Rocket Motor Chamber with Sidewall Mass Injection and End-Wall Disturbance

Albatati

Hegab

Rady

et al. 2021

Mathematical Problems in Engineering

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The present analytical, numerical, and experimental investigations are performed to study the flow field in acoustically simulated solid rocket motor (SRM) chamber geometry. The computational solution is carried out for a high Reynolds number and low Mach number internal flows driven by sidewall mass addition in a long chamber with end-wall disturbances. This kind of flow (transient, weakly viscous, and contains vorticity) have several features in common with a turbulent flow field. The numerical study is performed by solving the unsteady Reynolds-averaged Navier–Stokes equations along with the energy equation using the control volume approach based on a staggered grid system. The v2-f turbulence model has been implemented in the current study. A comparison of the SIMPLE and PISO algorithms showed that both algorithms provide identical results, and the computational time using the PISO algorithm is higher by about 6% than the corresponding value of the SIMPLE algorithm. A fair agreement has been obtained between the numerical, analytical, and experimental results. Moreover, the results showed that the complex turbulent internal flow patterns are induced inside the chamber due to the strong interaction of the sidewall injection with the traveling acoustic waves. Such a complex internal structure is shown to be dependent on the piston frequency and sidewall mass flux. The current study, for the first time, emphasizes the acoustic-fluid dynamics interaction mechanism and the accompanying unsteady rotational fields along with the effect of the generated turbulence on the unsteady vorticity and its impact on the real burning rate.

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Section: Introductionsupporting

confidence: 69%

Section: Code Validationsmentioning

confidence: 99%

Turbulent Flow Characteristics in a Model of a Solid Rocket Motor Chamber with Sidewall Mass Injection and End-Wall Disturbance

Albatati

Hegab

Rady

et al. 2021

Mathematical Problems in Engineering

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show abstract

“…Earlier pioneering experimental works conducted by Yamada et al [8], Traineau et al [9], and Dunlap et al [10] stimulated the research on the injection-driven flow. In their studies, axial mean velocity profiles were measured and compared with the laminar inviscid solution derived analytically by Culick [11].…”

mentioning

confidence: 98%

Large Eddy Simulation of Flow Development in Chamber with Surface Mass Injection

Lee

2009

Journal of Propulsion and Power

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Motivated by the recent experimental observation of noticeable features of dimplelike surface roughness patterns on the hybrid fuel grain, the authors investigated a cold flow in a porous chamber with surface mass injection through a large eddy simulation technique. The main purpose is to understand the role of turbulent structures in generating those irregular, isolated roughness patterns found on the fuel surface. It was noted that the structural feature of nearwall coherent vortices has been considerably altered by the application of wall injection, resulting in isolated cell-like contours of streamwise velocity distributed all over the horizontal planes close to the wall. This sudden change of contour shape is reminiscent of the roughness patterns observed in the accompanying experiment. The rapid evolution of the kinematical configuration of near-wall turbulence structures is believed to be caused by the effect of vertical momentum given at the wall as in the regression process. NomenclatureC S = model coefficient for velocity field C T = model coefficient for passive scalar h = half-channel height L x = domain size in streamwise direction L y = domain size in wall-normal direction, 2h L z = domain size in spanwise direction Pr = molecular Prandtl number p = pressure q j = residual scalar flux vector R uu = two point or autocorrelation of streamwise velocity Re h = Reynolds number based on inlet bulk velocity and half-channel height S ij = strain rate tensor, u i;j u j;i =2 T = temperature (passive scalar) T w = wall temperature t = time U b = inlet bulk velocity u = velocity component in x direction v = velocity component in y direction w = velocity component in z direction x = Cartesian coordinate in streamwise direction y = Cartesian coordinate in wall-normal direction z = Cartesian coordinate in spanwise direction t = turbulent diffusivity = filter width ij = Kronecker delta function t = turbulent viscosity ij = residual stress tensor Subscripts b = bulk mean quantity mean = averaged quantity over time and spanwise direction Superscripts h i = grid filter h i t = test filter = fluctuating component due to turbulence

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“…It also coincided with Taylor's 1956 solution obtained a decade earlier, albeit in an entirely different physical context. 2 The Taylor-Culick profile was repeatedly verified in a reassuring number of investigations, starting with the inventive tests reported by Taylor, 2 and continuing to those carried out in later years by way of computation, 3-5 experiment, [5][6][7] and theory. [8][9][10] In short, a collective body of research has confirmed the adequacy of the Taylor-Culick model in approximating the bulk flow in a full-length cylindrical motor.…”

Section: Introductionmentioning

confidence: 92%

The Taylor-Culick Profile with Uniform Headwall Injection

Majdalani¹

2005

41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference &Amp;amp; Exhibit

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Simulative Study on the Erosive Burning of Solid Rocket Motors

Cited by 115 publications

References 7 publications

Turbulent Flow Characteristics in a Model of a Solid Rocket Motor Chamber with Sidewall Mass Injection and End-Wall Disturbance

Turbulent Flow Characteristics in a Model of a Solid Rocket Motor Chamber with Sidewall Mass Injection and End-Wall Disturbance

Large Eddy Simulation of Flow Development in Chamber with Surface Mass Injection

The Taylor-Culick Profile with Uniform Headwall Injection

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